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Simplifying 2 + 4(3x + -5) = 9 + -5(2x + 1) Reorder the terms: 2 + 4(-5 + 3x) = 9 + -5(2x + 1) 2 + (-5 * 4 + 3x * 4) = 9 + -5(2x + 1) 2 + (-20 + 12x) = 9 + -5(2x + 1) Combine like terms: 2 + -20 = -18 -18 + 12x = 9 + -5(2x + 1) Reorder the terms: -18 + 12x = 9 + -5(1 + 2x) -18 + 12x = 9 + (1 * -5 + 2x * -5) -18 + 12x = 9 + (-5 + -10x) Combine like terms: 9 + -5 = 4 -18 + 12x = 4 + -10x Solving -18 + 12x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -18 + 12x + 10x = 4 + -10x + 10x Combine like terms: 12x + 10x = 22x -18 + 22x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + 22x = 4 + 0 -18 + 22x = 4 Add '18' to each side of the equation. -18 + 18 + 22x = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 22x = 4 + 18 22x = 4 + 18 Combine like terms: 4 + 18 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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